papers
Publications (35)
math.CO2018
Combinatorial proof of an identity of Andrews and Yee
Shane Chern
math.CO2017
On partitions with even parts below odd parts
Shane Chern
math.CO2017
Congruences for partition functions related to mock theta functions
Shane Chern, Li-Jun Hao
math.NT2018
An infinite family of congruences arising from a second order mock theta function
Shane Chern, Chun Wang
math.CO2017
An overpartition analogue of partitions with bounded differences between largest and smallest parts
Shane Chern
math.NT2017
On the power mean of a sum analogous to the Kloosterman sum
Shane Chern
math.CO2019
Linked partition ideals, directed graphs and $q$-multi-summations
Shane Chern
math.CO2017
On certain weighted 7-colored partitions
Shane Chern, Dazhao Tang
math.NT2016
New congruences for 2-color partitions
Shane Chern
math.CO2019
Partitions and the maximal excludant
Shane Chern
math.NT2018
Ramanujan-type congruences for $2$-color partition triples
Shane Chern, Chun Wang
q-fin.MF2017
Pricing VIX Derivatives With Free Stochastic Volatility Model
Wei Lin, Shenghong Li, Shane Chern
math.CO2018
Unlimited parity alternating partitions
Shane Chern
math.NT2017
New congruences for $\ell$-regular overpartitions
Shane Chern
math.NT2018
Note on the truncated generalizations of Gauss' square exponent theorem
Shane Chern
math.NT2018
A further look at the truncated pentagonal number theorem
Shane Chern
math.NT2018
On a conjecture of George Beck
Shane Chern
math.CO2018
Some inequalities for Garvan's bicrank function of 2-colored partitions
Shane Chern, Dazhao Tang, Liuquan Wang
math.CO2017
Some inequalities for $k$-colored partition functions
Shane Chern, Shishuo Fu, Dazhao Tang
math.CO2018
A curious identity and its applications to partitions with bounded part differences
Shane Chern
math.CO2018
Elementary proof of congruences modulo 25 for broken $k$-diamond partitions
Shane Chern, Dazhao Tang
math.NT2017
Some congruences modulo 5 and 25 for overpartition
Shane Chern, Manosij Ghosh Dastidar
math.NT2016
Arithmetic properties for cubic partition pairs modulo powers of 3
Shane Chern
math.CO2018
Multi-dimensional $q$-summations and multi-colored partitions
Shane Chern, Shishuo Fu, Dazhao Tang
math.NT2016
Remarks on the distribution of the primitive roots of a prime
Shane Chern
q-fin.CP2015
Consistent Pricing of VIX and Equity Derivatives with the 4/2 Stochastic Volatility Plus Jumps Model
Wei Lin, Shenghong Li, Xingguo Luo +1
math.NT2016
Integral right triangle and rhombus pairs with a common area and a common perimeter
Shane Chern
math.NT2017
Congruences and recursions for the cubic partition
Shane Chern, Manosij Ghosh Dastidar
math.NT2016
A congruence involving the quotients of Euler and its applications (III)
Hao Zhong, Shane Chern, Tianxin Cai
math.NT2017
Distribution of reducible polynomials with a given coefficient set
Shane Chern
math.NT2016
Formulas for Partition $k$-Tuples with $t$-Cores
Shane Chern
math.NT2015
A note on balancing binomial coefficients
Shane Chern
math.CO2018
Overpartitions with bounded part differences
Shane Chern, Ae Ja Yee
math.NT2018
Asymptotics for the Fourier coefficients of eta-quotients
Shane Chern
math.NT2017
Congruences for 1-shell totally symmetric plane partitions
Shane Chern